We're all entitled to our opinion. And we're all allowed to disagree with other people's opinions. But when we disagree with our own opinion, the opinions balance each other out, and we look like an idiot. That's called a "self-own" and it happens a lot on this anarchic free-for-all we call the internet.
The darkly funny "conservative self-own" Twitter account is devoted to collecting examples of conservatives who accidentally roasted themselves.